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Finding the Fourth Proportional to 137,643.56, 206,485.88 and 48,889.60

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Solution

The fourth proportional to 137,643.56, 206,485.88 and 48,889.60 is: 73,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,643.56 : 206,485.88 = 48,889.60 : x
  2. Step 2: Convert to fraction form
    137,643.56/206,485.88 = 48,889.60/x
  3. Step 3: Cross multiply
    137,643.56x = 206,485.88 × 48,889.60
  4. Step 4: Simplify right side
    137,643.56x = 10,095,012,078.85
  5. Step 5: Solve for x
    x = 10,095,012,078.85/137,643.56
  6. Step 6: Final answer
    x = 73,341.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.